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To find the length of DE,
Here D = (-5,-2) and E = (-5,4).
Hence the distance is given by
[tex]DE=\sqrt[]{(-5+5)^2+(4+2)^2}[/tex]On simplifying,
[tex]\begin{gathered} DE=\sqrt[]{6^2} \\ DE=6 \end{gathered}[/tex]Hence the length of DE is 6 units